00:01
In the first problem, we have been asked to calculate the mean of a set of data with a standard deviation of 4, given that a value of 73 has a z score of 1 .5.
00:11
So for this, first of all, recall the formula for the z score.
00:15
This is given by x minus mu divided by sigma.
00:19
And here, x represents the raw score, mu represents the mean, and sigma represents the standard deviation.
00:27
Now, we want to find the mean, so we need to find the value of mu.
00:30
So from here, note that we can get that z times sigma is equal to x minus mu, and that will imply that mu is equal to x minus z times sigma.
00:41
So let's calculate this.
00:43
Now, x is the raw score that is given to be 73.
00:47
Then we have z.
00:49
That's the z score.
00:50
It's given to be 1 .5.
00:51
And we multiply this with the standard deviation, which is given to be 4...
